Question

Given 2f x x x 6 8andg x x 2, solvef x g x using a table of values. Show your work.

Answer 1

Given:

`\begin{gathered} f(x)=x^2-6x+8 \\ g(x)=x-2 \end{gathered}`
`f(x)=g(x)`
`\begin{gathered} x^2-6x+8=x-2 \\ x^2-6x-x+8+2=0 \\ x^2-7x+10=0 \\ (x-5)(x-2)=0 \\ x=2,5 \end{gathered}`